let a= sqrt(7 + 4 *sqrt(3)) find irr(a,Q) now let a= sqrt(7) + i find irr(a,Q)
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Originally Posted by Coda202 let a= sqrt(7 + 4 *sqrt(3)) find irr(a,Q) now let a= sqrt(7) + i find irr(a,Q) show that the polynomial is irreducible over and therefore over in order to show this you only need to prove that we cannot have for some integers that is very easy to verify!
Originally Posted by NonCommAlg Show that the polynomial is irreducible over and therefore over How does irreducibile in imply irreducible in ?
Originally Posted by mathman88 How does irreducibile in imply irreducible in ? Gauss's lemma.
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